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Finding the Fourth Proportional to 361.78, 499.32 and 204.49

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Solution

The fourth proportional to 361.78, 499.32 and 204.49 is: 282.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.78 : 499.32 = 204.49 : x
  2. Step 2: Convert to fraction form
    361.78/499.32 = 204.49/x
  3. Step 3: Cross multiply
    361.78x = 499.32 × 204.49
  4. Step 4: Simplify right side
    361.78x = 102,105.95
  5. Step 5: Solve for x
    x = 102,105.95/361.78
  6. Step 6: Final answer
    x = 282.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.